Compressor Flow and Keceiver Size

$13-28$E$.$ Air is used ar a rate of $30$ cfm from a receiver at $100$ F and $150$ psi $.$ If the atmospheric pressure is $14\mathrm{.}7$ psia and the atmospheric temperature is $\backslash (80^\{\backslash$circ$\}\backslash$mathrm$\{$F$\}\backslash ),$ how many cfm of free air must the compressor provide? $200$ scfm at $120$ psig. The overall efficiency of the compressor is $\backslash (72\backslash \%\backslash ).$

Determine the output pressure of a compressor operating with the following data:

a$.$ Actual power required to drive the compressor is $20$ kW $.$

b$.$ Overall efficiency of the compressor is $\backslash (75\backslash \%\backslash ).$

c$.$ Compressor delivers four standard $\backslash (\backslash$mathrm$\{$m$\}^\{3/$ m i n$\}\backslash ).$

d$.$ Compressor inlet pressure is $100$ kPa abs$.$